Titlebook: Gentzen Calculi for Modal Propositional Logic; Francesca Poggiolesi Book 2011 Springer Science+Business Media B.V. 2011 Gentzen calculus.c

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Die Einzelhandelst?tigkeit des Handwerkssical sequent in a purely syntactic fashion (see the previous chapter); the second type enriches a classical sequent by adjoining semantic elements. This chapter will be entirely dedicated to the analysis of the calculi generated by means of this latter method.

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Theoretische Fundierung von Einstellungen,e sequent calculus has been the central interest of several illustrious proof theorists. This has given rise to a broad literature and numerous results. Nevertheless, there still are problems and issues concerning the sequent calculus that need to be further developed and tackled. Amongst these, our

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Gunther Lehmann,Franz Joseph Meisterhapter we present the ordinary sequent calculi that have been developed for modal logic. It turns out that these calculi do not satisfy many of the properties of a good sequent calculus. In the last section we begin to consider how one might generalise the classical sequent calculus.

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